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Finding the Fourth Proportional to 421.04, 580.97 and 337.10

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Solution

The fourth proportional to 421.04, 580.97 and 337.10 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.04 : 580.97 = 337.10 : x
  2. Step 2: Convert to fraction form
    421.04/580.97 = 337.10/x
  3. Step 3: Cross multiply
    421.04x = 580.97 × 337.10
  4. Step 4: Simplify right side
    421.04x = 195,840.40
  5. Step 5: Solve for x
    x = 195,840.40/421.04
  6. Step 6: Final answer
    x = 465.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.